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120222102000 = 243537111337541
BaseRepresentation
bin110111111110111001…
…0111011000111110000
3102111022111002120011110
41233331302323013300
53432203324231000
6131121304513320
711454134002050
oct1577562730760
9374274076143
10120222102000
1146a932736a0
121b37217b840
13b44c20c780
145b66a3d560
1531d9728850
hex1bfdcbb1f0

120222102000 has 1280 divisors, whose sum is σ = 535461728256. Its totient is φ = 22394880000.

The previous prime is 120222101947. The next prime is 120222102017. The reversal of 120222102000 is 201222021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 222221730 + ... + 222222270.

Almost surely, 2120222102000 is an apocalyptic number.

120222102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267730864128).

120222102000 is an abundant number, since it is smaller than the sum of its proper divisors (415239626256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120222102000 is a wasteful number, since it uses less digits than its factorization.

120222102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120222102000 its reverse (201222021), we get a palindrome (120423324021).

It can be divided in two parts, 120222 and 102000, that added together give a palindrome (222222).

The spelling of 120222102000 in words is "one hundred twenty billion, two hundred twenty-two million, one hundred two thousand".